古天乐代言太阳集团核心数学研究所——几何与分析综合报告第69讲 关于凸体的一些性质

创建时间:  2024/03/29  龚惠英   浏览次数:   返回

报告题目 (Title):On some properties of convex bodies(关于凸体的一些性质)

报告人(Speaker):苑立平(河北师范大学)

报告时间(Time):2024年3月29日(周五) 14:00

报告地点(Place):校本部F309

邀请人(Inviter):席东盟、李晋、张德凯、吴加勇

主办部门:古天乐代言太阳集团数学系

报告摘要:Let ℱ be a family of sets in Rd (always d ≥ 2). A set M⊂Rd is called ℱ-convex, if for any pair of distinct points x, y∈M, there is a set F∈ℱ such that x, y∈F and F⊂M. A family ℱ of compact sets is called complete if ℱ contains all compact ℱ-convex sets. A convex body K is called selfish, if the family ℱK of all convex bodies similar to K is complete.

We say that a convex body C has the Rupert property if we can make a hole large enough in C to permit another copy of C to pass through.

In this talk we'll discuss the selfishness and Rupert property of some convex bodies.

上一条:量子科技研究院seminar第11讲暨物理学科Seminar第654讲 磁性拓扑绝缘体的第一性原理材料设计

下一条:量子科技研究院seminar第10讲暨物理学科Seminar第653讲 一个科技老兵在力争从事原创性研究中的几点体会


古天乐代言太阳集团核心数学研究所——几何与分析综合报告第69讲 关于凸体的一些性质

创建时间:  2024/03/29  龚惠英   浏览次数:   返回

报告题目 (Title):On some properties of convex bodies(关于凸体的一些性质)

报告人(Speaker):苑立平(河北师范大学)

报告时间(Time):2024年3月29日(周五) 14:00

报告地点(Place):校本部F309

邀请人(Inviter):席东盟、李晋、张德凯、吴加勇

主办部门:古天乐代言太阳集团数学系

报告摘要:Let ℱ be a family of sets in Rd (always d ≥ 2). A set M⊂Rd is called ℱ-convex, if for any pair of distinct points x, y∈M, there is a set F∈ℱ such that x, y∈F and F⊂M. A family ℱ of compact sets is called complete if ℱ contains all compact ℱ-convex sets. A convex body K is called selfish, if the family ℱK of all convex bodies similar to K is complete.

We say that a convex body C has the Rupert property if we can make a hole large enough in C to permit another copy of C to pass through.

In this talk we'll discuss the selfishness and Rupert property of some convex bodies.

上一条:量子科技研究院seminar第11讲暨物理学科Seminar第654讲 磁性拓扑绝缘体的第一性原理材料设计

下一条:量子科技研究院seminar第10讲暨物理学科Seminar第653讲 一个科技老兵在力争从事原创性研究中的几点体会